Last updated on May 26th, 2025
When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 455.
A cube number is a value obtained by raising a number to the power of 3, or by multiplying the number by itself three times. When you cube a positive number, the result is always positive. When you cube a negative number, the result is always negative. This is because a negative number multiplied by itself three times results in a negative number. The cube of 455 can be written as 455³, which is the exponential form. Or it can also be written in arithmetic form as 455 × 455 × 455.
In order to check whether a number is a cube number or not, we can use the following three methods: the multiplication method, a factor formula (a³), or by using a calculator. These three methods will help kids to cube the numbers faster and easier without feeling confused or stuck while evaluating the answers. By Multiplication Method Using a Formula Using a Calculator
The multiplication method is a process in mathematics used to find the product of two numbers or quantities by combining them through repeated addition. It is a fundamental operation that forms the basis for more complex mathematical concepts. Step 1: Write down the cube of the given number. 455³ = 455 × 455 × 455 Step 2: You get 94,863,875 as the answer. Hence, the cube of 455 is 94,863,875.
The formula (a + b)³ is a binomial formula for finding the cube of a number. The formula is expanded as a³ + 3a²b + 3ab² + b³. Step 1: Split the number 455 into two parts, as 450 and 5. Let a = 450 and b = 5, so a + b = 455 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 450³ 3a²b = 3 × 450² × 5 3ab² = 3 × 450 × 5² b³ = 5³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (450 + 5)³ = 450³ + 3 × 450² × 5 + 3 × 450 × 5² + 5³ 455³ = 91,125,000 + 30,375 + 3,375 + 125 455³ = 94,863,875 Step 5: Hence, the cube of 455 is 94,863,875.
To find the cube of 455 using a calculator, input the number 455 and use the cube function (if available) or multiply 455 × 455 × 455. This operation calculates the value of 455³, resulting in 94,863,875. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 4 followed by 5 and 5. Step 3: If the calculator has a cube function, press it to calculate 455³. Step 4: If there is no cube function on the calculator, simply multiply 455 three times manually. Step 5: The calculator will display 94,863,875.
The cube of any even number is always even, while the cube of any odd number is always odd. The product of two or more perfect cube numbers is always a perfect cube. A perfect cube can always be expressed as the product of three identical groups of equal prime factors.
There are some typical errors that kids might make during the process of cubing a number. Let us take a look at five of the major mistakes that kids might make:
What is the cube and cube root of 455?
The cube of 455 is 94,863,875, and the cube root of 455 is approximately 7.703.
First, let’s find the cube of 455. We know that the cube of a number, such that x³ = y Where x is the given number, and y is the cubed value of that number. So, we get 455³ = 94,863,875. Next, we must find the cube root of 455. We know that the cube root of a number ‘x’, such that ∛x = y Where ‘x’ is the given number, and y is the cube root value of the number. So, we get ∛455 ≈ 7.703. Hence, the cube of 455 is 94,863,875, and the cube root of 455 is approximately 7.703.
If the side length of the cube is 455 cm, what is the volume?
The volume is 94,863,875 cm³.
Use the volume formula for a cube V = Side³. Substitute 455 for the side length: V = 455³ = 94,863,875 cm³.
How much larger is 455³ than 450³?
455³ – 450³ = 4,738,875.
First, find the cube of 455, that is 94,863,875. Next, find the cube of 450, which is 91,125,000. Now, find the difference between them using the subtraction method. 94,863,875 – 91,125,000 = 3,738,875. Therefore, 455³ is 3,738,875 larger than 450³.
If a cube with a side length of 455 cm is compared to a cube with a side length of 10 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 455 cm is 94,863,875 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 455 means multiplying 455 by itself three times: 455 × 455 = 207,025, and then 207,025 × 455 = 94,863,875. The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube. Therefore, the volume of the cube is 94,863,875 cm³.
Estimate the cube of 454.9 using the cube of 455.
The cube of 454.9 is approximately 94,863,875.
First, identify the cube of 455, The cube of 455 is 455³ = 94,863,875. Since 454.9 is only a tiny bit less than 455, the cube of 454.9 will be almost the same as the cube of 455. The cube of 454.9 is approximately 94,863,875 because the difference between 454.9 and 455 is very small. So, we can approximate the value as 94,863,875.
Binomial Formula: It is an algebraic expression used to expand the powers of a number, written as (a + b)ⁿ, where ‘n’ is a positive integer raised to the base. The formula is used to find the square and cube of a number. Cube of a Number: Multiplying a number by itself three times is called the cube of a number. Exponential Form: It is a way of expressing numbers using a base and an exponent (or power), where the exponent value indicates how many times the base is multiplied by itself. For example, 2³ represents 2 × 2 × 2 equals 8. Multiplication Method: A mathematical process to determine the product of two or more numbers by repeated addition. Perfect Cube: A number that can be expressed as the cube of an integer.
Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.
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